0.45x+0.05(16-x)=0.10(32)

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Solution for 0.45x+0.05(16-x)=0.10(32) equation: 


Simplifying
0.45x + 0.05(16 + -1x) = 0.10(32)
0.45x + (16 * 0.05 + -1x * 0.05) = 0.10(32)
0.45x + (0.8 + -0.05x) = 0.10(32)

Reorder the terms:
0.8 + 0.45x + -0.05x = 0.10(32)

Combine like terms: 0.45x + -0.05x = 0.4x
0.8 + 0.4x = 0.10(32)

Multiply 0.10 * 32
0.8 + 0.4x = 3.2

Solving
0.8 + 0.4x = 3.2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 0.4x = 3.2 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.4x = 3.2 + -0.8
0.4x = 3.2 + -0.8

Combine like terms: 3.2 + -0.8 = 2.4
0.4x = 2.4

Divide each side by '0.4'.
x = 6

Simplifying
x = 6

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